Home Physics Wave and Sound Mix A triangular wave pulse on a taut string tra…
Physics Wave and Sound Mix MCQ (Single Correct)

A triangular wave pulse on a taut string travels in the positive x-direction with speed v. The tension in the string is F and the linear mass density of the string is µ. At t = 0, the shape of the pulse is given by

A
Draw the pulse at t = 0.
B
Determine the wave function y(x, t) at all times t.
C
Find the instantaneous power in the wave. Show that the power is zero except for –L < (x – vt) < L and that in this interval the power is constant. Find the value of this constant power [Energy in a Triangular Pulse].

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The wave moves in the +x direction with speed v, so in the expression for y(x, 0) replace x with x – vt:

P(x, t) = F =


Thus the instantaneous power is zero except for –L < (x – vt) < L, where it has the constant value F

v(h/L) 2 .

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